Green functions of electrons in monolayer and bilayer graphene in a magnetic field

Abstract

Closed expressions for the Green functions of the stationary two-dimensional two-component Schrodinger equation for an electron moving in monolayer and bilayer graphene in the presence of a magnetic field are obtained in terms of the Whittaker functions.

7 pages, 2 figures, 2 exact results, published verion

References in corpus (2)

• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• High magnetic field theory for the local density of states in graphene with smooth arbitrary potential landscapes

Cited by in corpus (4)

• Magnetic field driven instability of charged center in graphene
• Valley properties of doped graphene in a magnetic field
• Interplay of resonant states and Landau levels in functionalized graphene
• Part 1. Infinite series and logarithmic integrals associated to differentiation with respect to parameters of the Whittaker ${\mathrm{M}}_{\kappa ,\mu }\left(x\right)$ function